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Finding the Fourth Proportional to 1,640.84, 2,461.25 and 947.06

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Solution

The fourth proportional to 1,640.84, 2,461.25 and 947.06 is: 1,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.84 : 2,461.25 = 947.06 : x
  2. Step 2: Convert to fraction form
    1,640.84/2,461.25 = 947.06/x
  3. Step 3: Cross multiply
    1,640.84x = 2,461.25 × 947.06
  4. Step 4: Simplify right side
    1,640.84x = 2,330,950.72
  5. Step 5: Solve for x
    x = 2,330,950.72/1,640.84
  6. Step 6: Final answer
    x = 1,420.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.